𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Singular-ended spline interpolation for two-dimensional boundary element analysis

✍ Scribed by Pérsio Leister de Almeida Barros; Euclides de Mesquita Neto

Publisher
John Wiley and Sons
Year
2000
Tongue
English
Weight
146 KB
Volume
47
Category
Article
ISSN
0029-5981

No coin nor oath required. For personal study only.

✦ Synopsis

A method of interpolation of the boundary variables that uses spline functions associated with singular elements is presented. This method can be used in boundary element method analysis of 2-D problems that have points where the boundary variables present singular behaviour. Singular-ended splines based on cubic splines and Overhauser splines are developed. The former provides C 2 -continuity and the latter C 1 -continuity across element edges. The potentialities of the methodology are demonstrated analysing the dynamic response of a 2-D rigid footing interacting with a half-space. It is shown that, for a given number of elements at the soil-foundation interface, the singular-ended spline interpolation increases substantially the displacement convergence rate and delivers smoother traction distributions.

📜 SIMILAR VOLUMES

INFINITE DOMAIN CORRECTION FOR ANTI-PLAN
INFINITE DOMAIN CORRECTION FOR ANTI-PLANE SHEAR WAVES IN A TWO-DIMENSIONAL BOUNDARY ELEMENT ANALYSIS
✍ ERNEST HEYMSFIELD 📂 Article 📅 1997 🏛 John Wiley and Sons 🌐 English ⚖ 233 KB 👁 1 views

A method is described in this article to correct for the error that arises with the discretization of domains that include boundaries that extend to infinity. Typically, when these types of domains are discretized, part of the boundary is excluded from the calculation resulting in a truncated region

INFINITE DOMAIN CORRECTION FOR IN-PLANE
INFINITE DOMAIN CORRECTION FOR IN-PLANE BODY WAVES IN A TWO-DIMENSIONAL BOUNDARY ELEMENT ANALYSIS
✍ ERNEST HEYMSFIELD 📂 Article 📅 1997 🏛 John Wiley and Sons 🌐 English ⚖ 288 KB 👁 1 views

A method is described in this article to correct for the error that arises with the discretization of domains that include boundaries that extend to infinity. Typically when open domains are discretized, part of the boundary is excluded from the calculation resulting in a truncated region. Of partic

A family of second-order boundary damper
A family of second-order boundary dampers for finite element analysis of two and three-dimensional problems in transient exterior acoustics
✍ K. G. Manoj; S. K. Bhattacharyya 📂 Article 📅 2000 🏛 John Wiley and Sons 🌐 English ⚖ 219 KB 👁 2 views

Numerical modelling of exterior acoustics problems involving in"nite medium requires truncation of the medium at a "nite distance from the obstacle or the structure and use of non-re#ecting boundary condition at this truncation surface to simulate the asymptotic behaviour of radiated waves at far "e